JEE Advanced 2010 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Advanced 2010

A binary star consists of two stars A (mass ) and B (mass ), where is the mass of the sun. They are separated by distance d and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star B about the centre of mass is

Answer: 6

Solution

Both stars revolve about the centre of mass with the same angular velocity , at distances and with . Angular momenta about the centre of mass: , $

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Question ID VK-025814